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» Existence and Construction of Edge Disjoint Paths on Expande...
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STOC
2010
ACM
170views Algorithms» more  STOC 2010»
15 years 1 months ago
Connectivity oracles for failure prone graphs
Dynamic graph connectivity algorithms have been studied for many years, but typically in the most general possible setting, where the graph can evolve in completely arbitrary ways...
Ran Duan, Seth Pettie
81
Voted
CORR
2004
Springer
104views Education» more  CORR 2004»
14 years 9 months ago
Ramanujan Graphs and the Random Reducibility of Discrete Log on Isogenous Elliptic Curves
Cryptographic applications using an elliptic curve over a finite field filter curves for suitability using their order as the primary criterion: e.g. checking that their order has...
David Jao, Stephen D. Miller, Ramarathnam Venkates...
SODA
2010
ACM
201views Algorithms» more  SODA 2010»
15 years 7 months ago
Efficient Broadcast on Random Geometric Graphs
A Random Geometric Graph (RGG) in two dimensions is constructed by distributing n nodes independently and uniformly at random in [0, n ]2 and creating edges between every pair of...
Milan Bradonji, Robert Elsässer, Tobias Friedrich...
ECCC
2006
88views more  ECCC 2006»
14 years 9 months ago
Hardness of Directed Routing with Congestion
Given a graph G and a collection of source-sink pairs in G, what is the least integer c such that each source can be connected by a path to its sink, with at most c paths going th...
Julia Chuzhoy, Sanjeev Khanna
WADS
2009
Springer
291views Algorithms» more  WADS 2009»
15 years 4 months ago
On the Power of the Semi-Separated Pair Decomposition
Abstract. A Semi-Separated Pair Decomposition (SSPD), with parameter s > 1, of a set S ⊂ Rd is a set {(Ai, Bi)} of pairs of subsets of S such that for each i, there are balls ...
Mohammad Ali Abam, Paz Carmi, Mohammad Farshi, Mic...